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基于改进集的参数广义弱向量平衡问题解的半连续性(英文) 被引量:2

Semi-continuous solutions of parametric generalized weak vector equilibrium problems defined on improvement sets
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摘要 以定义在改进集上的序关系为基础,本文建立了广义弱向量平衡问题解的线性标量化特征.通过引入一种新的集值映射的严格伪单调性,本文进而得到了广义弱向量平衡问题解的上半连续性及下半连续性. In this paper,a linear scalarization characterization is established for generalized weak vector equilibrium problems,where the ordering relation is defined on improvement sets.Both lower and upper semi-continuities of solutions of the parametric generalized weak vector equilibrium problems are established under some strict pseudo-monotonicity assumptions.
作者 左欣 陈纯荣
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第3期478-482,共5页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金资助项目(11301567)
关键词 改进集 广义弱向量平衡问题 半连续性 严格伪单调性 Improvement sets Generalized weak vector equilibrium problems Semi-continuity Strict pseudo-monotonicity
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